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Finding the Fourth Proportional to 409,490.54, 614,323.29 and 143,259.74

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Solution

The fourth proportional to 409,490.54, 614,323.29 and 143,259.74 is: 214,920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,490.54 : 614,323.29 = 143,259.74 : x
  2. Step 2: Convert to fraction form
    409,490.54/614,323.29 = 143,259.74/x
  3. Step 3: Cross multiply
    409,490.54x = 614,323.29 × 143,259.74
  4. Step 4: Simplify right side
    409,490.54x = 88,007,793,764.83
  5. Step 5: Solve for x
    x = 88,007,793,764.83/409,490.54
  6. Step 6: Final answer
    x = 214,920.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.